Irwin Academy of Performing Arts: math

The shaded band is this school's normal range. If nothing about how it works changes, nearly every future year should land inside it. Zero means the typical student just meets the state standard. The small numbers under the years are how many students were tested.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 6.

All students

3rd The average 3rd grader scores 52 points under the grade 3 bar. 2384 vs. 2436.
4th The average 4th grader scores 29 points under the grade 3 bar. 2407 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 19 points under the grade 3 bar. 2417 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 36 points under the grade 4 bar. 2449 vs. 2485. The 6th-grade bar is 2552.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 56 students 43 points under the grade 3 bar. 4th 72 students 23 points under the grade 3 bar. 5th 61 students 18 points under the grade 3 bar. 6th 64 students 28 points under the grade 4 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 14 students 89 points under the grade 3 bar. 4th 12 students 64 points under the grade 3 bar. 5th 11 students 25 points under the grade 3 bar. 6th 12 students 30 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

Step 1 · Each year's result

For each grade tested, take the average (mean) scale score from the California Department of Education's results file, and subtract the lowest score that counts as "Standard Met" for that grade. That is the grade's distance from standard. Weight each grade by its share of the students tested, then add the grades up. Grades where the state hides the average because ten or fewer students tested are left out entirely.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	68,565	2354.7	− 2436	−81.3	× 115 / 414	−22.6
4	68,566	2403.2	− 2485	−81.8	× 108 / 414	−21.3
5	68,569	2411.2	− 2528	−116.8	× 98 / 414	−27.6
6	68,570	2434.6	− 2552	−117.4	× 93 / 414	−26.4
Sum, rounded to a whole point						−98

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,512	2361.7	− 2436	−74.3	× 107 / 421	−18.9
4	63,514	2393.1	− 2485	−91.9	× 111 / 421	−24.2
5	63,515	2419.3	− 2528	−108.7	× 99 / 421	−25.6
6	63,518	2417.4	− 2552	−134.6	× 104 / 421	−33.3
Sum, rounded to a whole point						−102

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,309	2368.1	− 2436	−67.9	× 86 / 399	−14.6
4	65,311	2397.4	− 2485	−87.6	× 102 / 399	−22.4
5	65,313	2381.5	− 2528	−146.5	× 117 / 399	−43
6	65,315	2437.2	− 2552	−114.8	× 94 / 399	−27
Sum, rounded to a whole point						−107

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,394	2368.3	− 2436	−67.7	× 109 / 403	−18.3
4	65,396	2375.9	− 2485	−109.1	× 89 / 403	−24.1
5	65,398	2410.5	− 2528	−117.5	× 98 / 403	−28.6
6	65,400	2434.4	− 2552	−117.6	× 107 / 403	−31.2
Sum, rounded to a whole point						−102

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,783	2360.8	− 2436	−75.2	× 104 / 382	−20.5
4	65,784	2393.6	− 2485	−91.4	× 96 / 382	−23
5	65,785	2424.0	− 2528	−104	× 88 / 382	−24
6	65,786	2422.6	− 2552	−129.4	× 94 / 382	−31.8
Sum, rounded to a whole point						−99

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,844	2336.5	− 2436	−99.5	× 77 / 328	−23.4
4	65,845	2374.6	− 2485	−110.4	× 89 / 328	−30
5	65,846	2420.3	− 2528	−107.7	× 73 / 328	−24
6	65,847	2417.7	− 2552	−134.3	× 89 / 328	−36.4
Sum, rounded to a whole point						−114

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,851	2338.8	− 2436	−97.2	× 92 / 338	−26.5
4	65,852	2381.4	− 2485	−103.6	× 72 / 338	−22.1
5	65,853	2403.3	− 2528	−124.7	× 93 / 338	−34.3
6	65,854	2469.3	− 2552	−82.7	× 81 / 338	−19.8
Sum, rounded to a whole point						−103

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,819	2354.7	− 2436	−81.3	× 80 / 319	−20.4
4	65,820	2390.1	− 2485	−94.9	× 80 / 319	−23.8
5	65,821	2429.5	− 2528	−98.5	× 68 / 319	−21
6	65,822	2425.3	− 2552	−126.7	× 91 / 319	−36.1
Sum, rounded to a whole point						−101

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,579	2348.8	− 2436	−87.2	× 93 / 315	−25.7
4	65,580	2396.9	− 2485	−88.1	× 73 / 315	−20.4
5	65,581	2412.3	− 2528	−115.7	× 76 / 315	−27.9
6	65,582	2458.9	− 2552	−93.1	× 73 / 315	−21.6
Sum, rounded to a whole point						−96

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,551	2383.8	− 2436	−52.2	× 70 / 302	−12.1
4	65,552	2407.0	− 2485	−78	× 84 / 302	−21.7
5	65,553	2417.0	− 2528	−111	× 72 / 302	−26.5
6	65,554	2449.2	− 2552	−102.8	× 76 / 302	−25.9
Sum, rounded to a whole point						−86

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −98, −102, −107, −102, −99, −114, −103, −101, −96, −86 → −100.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 5 · 2017→2018: 5 · 2018→2019: 3 · 2019→2022: 15 · 2022→2023: 11 · 2023→2024: 2 · 2024→2025: 5 · 2025→2026: 10 → average 6.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.7 × 2.66 = 17.8. Upper limit −83, lower limit −118.6.

Why 2.66? It is the standard factor from quality control, the work of Walter Shewhart and W. Edwards Deming. It turns "how much the result typically changes in a year" into "how far it can wander by chance alone".

Years with no result (no state tests were given in spring 2020) are skipped: the year-to-year change runs from the last year with a result to the next one.

Step 3 · Free or reduced-price meals

The share of enrolled students eligible for free or reduced-price meals. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.